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668367936 = 2634314159
BaseRepresentation
bin100111110101100…
…111110001000000
31201120122121110000
4213311213301000
52332100233221
6150153240000
722364014365
oct4765476100
91646577400
10668367936
113133047a5
12167a03000
13a86155b2
1464aa246c
153da24e26
hex27d67c40

668367936 has 140 divisors (see below), whose sum is σ = 2045655040. Its totient is φ = 215550720.

The previous prime is 668367913. The next prime is 668367941. The reversal of 668367936 is 639763866.

It is a happy number.

668367936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 158625 + ... + 162783.

Almost surely, 2668367936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 668367936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022827520).

668367936 is an abundant number, since it is smaller than the sum of its proper divisors (1377287104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

668367936 is a wasteful number, since it uses less digits than its factorization.

668367936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4214 (or 4195 counting only the distinct ones).

The product of its digits is 5878656, while the sum is 54.

The square root of 668367936 is about 25852.8129223882. The cubic root of 668367936 is about 874.3229313536.

The spelling of 668367936 in words is "six hundred sixty-eight million, three hundred sixty-seven thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 81 93 96 108 124 144 162 186 192 216 248 279 288 324 372 432 496 558 576 648 744 837 864 992 1116 1296 1488 1674 1728 1984 2232 2511 2592 2976 3348 4159 4464 5022 5184 5952 6696 8318 8928 10044 12477 13392 16636 17856 20088 24954 26784 33272 37431 40176 49908 53568 66544 74862 80352 99816 112293 128929 133088 149724 160704 199632 224586 257858 266176 299448 336879 386787 399264 449172 515716 598896 673758 773574 798528 898344 1031432 1160361 1197792 1347516 1547148 1796688 2062864 2320722 2395584 2695032 3094296 3481083 3593376 4125728 4641444 5390064 6188592 6962166 7186752 8251456 9282888 10443249 10780128 12377184 13924332 18565776 20886498 21560256 24754368 27848664 37131552 41772996 55697328 74263104 83545992 111394656 167091984 222789312 334183968 668367936